Finding the Third Proportional to 76,365 and 114,691.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,365 : 114,691.50 = 114,691.50 : x
2. Step 2: Convert to fraction form
   76,365/114,691.50 = 114,691.50/x
3. Step 3: Cross multiply
   76,365x = 114,691.50 × 114,691.50
4. Step 4: Simplify right side
   76,365x = 13,154,140,172.25
5. Step 5: Solve for x
   x = 13,154,140,172.25/76,365
6. Step 6: Final answer
   x = 172,253.52