Finding the Third Proportional to 90,294.75 and 137,848.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,294.75 : 137,848.50 = 137,848.50 : x
2. Step 2: Convert to fraction form
   90,294.75/137,848.50 = 137,848.50/x
3. Step 3: Cross multiply
   90,294.75x = 137,848.50 × 137,848.50
4. Step 4: Simplify right side
   90,294.75x = 19,002,208,952.25
5. Step 5: Solve for x
   x = 19,002,208,952.25/90,294.75
6. Step 6: Final answer
   x = 210,446.44