Finding the Third Proportional to 82,113 and 177,718.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,113 : 177,718.50 = 177,718.50 : x
2. Step 2: Convert to fraction form
   82,113/177,718.50 = 177,718.50/x
3. Step 3: Cross multiply
   82,113x = 177,718.50 × 177,718.50
4. Step 4: Simplify right side
   82,113x = 31,583,865,242.25
5. Step 5: Solve for x
   x = 31,583,865,242.25/82,113
6. Step 6: Final answer
   x = 384,639.04