Finding the Third Proportional to 119,630.25 and 185,098.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,630.25 : 185,098.50 = 185,098.50 : x
2. Step 2: Convert to fraction form
   119,630.25/185,098.50 = 185,098.50/x
3. Step 3: Cross multiply
   119,630.25x = 185,098.50 × 185,098.50
4. Step 4: Simplify right side
   119,630.25x = 34,261,454,702.25
5. Step 5: Solve for x
   x = 34,261,454,702.25/119,630.25
6. Step 6: Final answer
   x = 286,394.58