Finding the Third Proportional to 100,588.50 and 148,522.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,588.50 : 148,522.50 = 148,522.50 : x
2. Step 2: Convert to fraction form
   100,588.50/148,522.50 = 148,522.50/x
3. Step 3: Cross multiply
   100,588.50x = 148,522.50 × 148,522.50
4. Step 4: Simplify right side
   100,588.50x = 22,058,933,006.25
5. Step 5: Solve for x
   x = 22,058,933,006.25/100,588.50
6. Step 6: Final answer
   x = 219,298.76