Finding the Third Proportional to 82,122 and 177,061.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,122 : 177,061.50 = 177,061.50 : x
2. Step 2: Convert to fraction form
   82,122/177,061.50 = 177,061.50/x
3. Step 3: Cross multiply
   82,122x = 177,061.50 × 177,061.50
4. Step 4: Simplify right side
   82,122x = 31,350,774,782.25
5. Step 5: Solve for x
   x = 31,350,774,782.25/82,122
6. Step 6: Final answer
   x = 381,758.54