Finding the Third Proportional to 52,645 and 78,735

Step by Step Solution

1. Step 1: Write the proportion equation
   52,645 : 78,735 = 78,735 : x
2. Step 2: Convert to fraction form
   52,645/78,735 = 78,735/x
3. Step 3: Cross multiply
   52,645x = 78,735 × 78,735
4. Step 4: Simplify right side
   52,645x = 6,199,200,225
5. Step 5: Solve for x
   x = 6,199,200,225/52,645
6. Step 6: Final answer
   x = 117,754.78