Finding the Third Proportional to 101,021.50 and 156,851.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,021.50 : 156,851.50 = 156,851.50 : x
2. Step 2: Convert to fraction form
   101,021.50/156,851.50 = 156,851.50/x
3. Step 3: Cross multiply
   101,021.50x = 156,851.50 × 156,851.50
4. Step 4: Simplify right side
   101,021.50x = 24,602,393,052.25
5. Step 5: Solve for x
   x = 24,602,393,052.25/101,021.50
6. Step 6: Final answer
   x = 243,536.21