Finding the Third Proportional to 101,103.50 and 153,047.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,103.50 : 153,047.50 = 153,047.50 : x
2. Step 2: Convert to fraction form
   101,103.50/153,047.50 = 153,047.50/x
3. Step 3: Cross multiply
   101,103.50x = 153,047.50 × 153,047.50
4. Step 4: Simplify right side
   101,103.50x = 23,423,537,256.25
5. Step 5: Solve for x
   x = 23,423,537,256.25/101,103.50
6. Step 6: Final answer
   x = 231,678.80