Finding the Third Proportional to 226,213,523,645 and 492,143,390,002

Step by Step Solution

1. Step 1: Write the proportion equation
   226,213,523,645 : 492,143,390,002 = 492,143,390,002 : x
2. Step 2: Convert to fraction form
   226,213,523,645/492,143,390,002 = 492,143,390,002/x
3. Step 3: Cross multiply
   226,213,523,645x = 492,143,390,002 × 492,143,390,002
4. Step 4: Simplify right side
   226,213,523,645x = 242,205,116,322,660,688,592,896
5. Step 5: Solve for x
   x = 242,205,116,322,660,688,592,896/226,213,523,645
6. Step 6: Final answer
   x = 1,070,692,469,751.53