Finding the Third Proportional to 82,029 and 175,432.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,029 : 175,432.50 = 175,432.50 : x
2. Step 2: Convert to fraction form
   82,029/175,432.50 = 175,432.50/x
3. Step 3: Cross multiply
   82,029x = 175,432.50 × 175,432.50
4. Step 4: Simplify right side
   82,029x = 30,776,562,056.25
5. Step 5: Solve for x
   x = 30,776,562,056.25/82,029
6. Step 6: Final answer
   x = 375,191.24