Finding the Third Proportional to 177,502.50 and 382,068

Step by Step Solution

1. Step 1: Write the proportion equation
   177,502.50 : 382,068 = 382,068 : x
2. Step 2: Convert to fraction form
   177,502.50/382,068 = 382,068/x
3. Step 3: Cross multiply
   177,502.50x = 382,068 × 382,068
4. Step 4: Simplify right side
   177,502.50x = 145,975,956,624
5. Step 5: Solve for x
   x = 145,975,956,624/177,502.50
6. Step 6: Final answer
   x = 822,388.17