Finding the Third Proportional to 83,677.50 and 173,146.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,677.50 : 173,146.50 = 173,146.50 : x
2. Step 2: Convert to fraction form
   83,677.50/173,146.50 = 173,146.50/x
3. Step 3: Cross multiply
   83,677.50x = 173,146.50 × 173,146.50
4. Step 4: Simplify right side
   83,677.50x = 29,979,710,462.25
5. Step 5: Solve for x
   x = 29,979,710,462.25/83,677.50
6. Step 6: Final answer
   x = 358,276.84