Finding the Third Proportional to 127,587 and 298,006.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,587 : 298,006.50 = 298,006.50 : x
2. Step 2: Convert to fraction form
   127,587/298,006.50 = 298,006.50/x
3. Step 3: Cross multiply
   127,587x = 298,006.50 × 298,006.50
4. Step 4: Simplify right side
   127,587x = 88,807,874,042.25
5. Step 5: Solve for x
   x = 88,807,874,042.25/127,587
6. Step 6: Final answer
   x = 696,057.39