Finding the Third Proportional to 83,146.50 and 177,349.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,146.50 : 177,349.50 = 177,349.50 : x
2. Step 2: Convert to fraction form
   83,146.50/177,349.50 = 177,349.50/x
3. Step 3: Cross multiply
   83,146.50x = 177,349.50 × 177,349.50
4. Step 4: Simplify right side
   83,146.50x = 31,452,845,150.25
5. Step 5: Solve for x
   x = 31,452,845,150.25/83,146.50
6. Step 6: Final answer
   x = 378,282.25