Finding the Third Proportional to 98,583 and 152,929.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,583 : 152,929.50 = 152,929.50 : x
2. Step 2: Convert to fraction form
   98,583/152,929.50 = 152,929.50/x
3. Step 3: Cross multiply
   98,583x = 152,929.50 × 152,929.50
4. Step 4: Simplify right side
   98,583x = 23,387,431,970.25
5. Step 5: Solve for x
   x = 23,387,431,970.25/98,583
6. Step 6: Final answer
   x = 237,235.95