Finding the Third Proportional to 82,337.63 and 177,158.25

Step by Step Solution

1. Step 1: Write the proportion equation
   82,337.63 : 177,158.25 = 177,158.25 : x
2. Step 2: Convert to fraction form
   82,337.63/177,158.25 = 177,158.25/x
3. Step 3: Cross multiply
   82,337.63x = 177,158.25 × 177,158.25
4. Step 4: Simplify right side
   82,337.63x = 31,385,045,543.06
5. Step 5: Solve for x
   x = 31,385,045,543.06/82,337.63
6. Step 6: Final answer
   x = 381,175.02