Finding the Third Proportional to 92,465 and 142,615.50

Step by Step Solution

1. Step 1: Write the proportion equation
   92,465 : 142,615.50 = 142,615.50 : x
2. Step 2: Convert to fraction form
   92,465/142,615.50 = 142,615.50/x
3. Step 3: Cross multiply
   92,465x = 142,615.50 × 142,615.50
4. Step 4: Simplify right side
   92,465x = 20,339,180,840.25
5. Step 5: Solve for x
   x = 20,339,180,840.25/92,465
6. Step 6: Final answer
   x = 219,966.27