Finding the Third Proportional to 98,546 and 152,193.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,546 : 152,193.50 = 152,193.50 : x
2. Step 2: Convert to fraction form
   98,546/152,193.50 = 152,193.50/x
3. Step 3: Cross multiply
   98,546x = 152,193.50 × 152,193.50
4. Step 4: Simplify right side
   98,546x = 23,162,861,442.25
5. Step 5: Solve for x
   x = 23,162,861,442.25/98,546
6. Step 6: Final answer
   x = 235,046.19