Finding the Third Proportional to 101,522.25 and 148,819.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,522.25 : 148,819.50 = 148,819.50 : x
2. Step 2: Convert to fraction form
   101,522.25/148,819.50 = 148,819.50/x
3. Step 3: Cross multiply
   101,522.25x = 148,819.50 × 148,819.50
4. Step 4: Simplify right side
   101,522.25x = 22,147,243,580.25
5. Step 5: Solve for x
   x = 22,147,243,580.25/101,522.25
6. Step 6: Final answer
   x = 218,151.62