Finding the Third Proportional to 99,748.50 and 149,722.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,748.50 : 149,722.50 = 149,722.50 : x
2. Step 2: Convert to fraction form
   99,748.50/149,722.50 = 149,722.50/x
3. Step 3: Cross multiply
   99,748.50x = 149,722.50 × 149,722.50
4. Step 4: Simplify right side
   99,748.50x = 22,416,827,006.25
5. Step 5: Solve for x
   x = 22,416,827,006.25/99,748.50
6. Step 6: Final answer
   x = 224,733.47