Finding the Third Proportional to 76,029 and 114,043.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,029 : 114,043.50 = 114,043.50 : x
2. Step 2: Convert to fraction form
   76,029/114,043.50 = 114,043.50/x
3. Step 3: Cross multiply
   76,029x = 114,043.50 × 114,043.50
4. Step 4: Simplify right side
   76,029x = 13,005,919,892.25
5. Step 5: Solve for x
   x = 13,005,919,892.25/76,029
6. Step 6: Final answer
   x = 171,065.25