Finding the Third Proportional to 101,324 and 148,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,324 : 148,077.50 = 148,077.50 : x
2. Step 2: Convert to fraction form
   101,324/148,077.50 = 148,077.50/x
3. Step 3: Cross multiply
   101,324x = 148,077.50 × 148,077.50
4. Step 4: Simplify right side
   101,324x = 21,926,946,006.25
5. Step 5: Solve for x
   x = 21,926,946,006.25/101,324
6. Step 6: Final answer
   x = 216,404.27