Finding the Third Proportional to 76,371 and 114,700.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,371 : 114,700.50 = 114,700.50 : x
2. Step 2: Convert to fraction form
   76,371/114,700.50 = 114,700.50/x
3. Step 3: Cross multiply
   76,371x = 114,700.50 × 114,700.50
4. Step 4: Simplify right side
   76,371x = 13,156,204,700.25
5. Step 5: Solve for x
   x = 13,156,204,700.25/76,371
6. Step 6: Final answer
   x = 172,267.02