Finding the Third Proportional to 123,801 and 191,380.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,801 : 191,380.50 = 191,380.50 : x
2. Step 2: Convert to fraction form
   123,801/191,380.50 = 191,380.50/x
3. Step 3: Cross multiply
   123,801x = 191,380.50 × 191,380.50
4. Step 4: Simplify right side
   123,801x = 36,626,495,780.25
5. Step 5: Solve for x
   x = 36,626,495,780.25/123,801
6. Step 6: Final answer
   x = 295,849.76