Finding the Third Proportional to 125,583 and 188,374.50

Step by Step Solution

1. Step 1: Write the proportion equation
   125,583 : 188,374.50 = 188,374.50 : x
2. Step 2: Convert to fraction form
   125,583/188,374.50 = 188,374.50/x
3. Step 3: Cross multiply
   125,583x = 188,374.50 × 188,374.50
4. Step 4: Simplify right side
   125,583x = 35,484,952,250.25
5. Step 5: Solve for x
   x = 35,484,952,250.25/125,583
6. Step 6: Final answer
   x = 282,561.75