Finding the Third Proportional to 99,783 and 157,973.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,783 : 157,973.50 = 157,973.50 : x
2. Step 2: Convert to fraction form
   99,783/157,973.50 = 157,973.50/x
3. Step 3: Cross multiply
   99,783x = 157,973.50 × 157,973.50
4. Step 4: Simplify right side
   99,783x = 24,955,626,702.25
5. Step 5: Solve for x
   x = 24,955,626,702.25/99,783
6. Step 6: Final answer
   x = 250,098.98