Finding the Third Proportional to 102,160.50 and 153,380.25

Step by Step Solution

1. Step 1: Write the proportion equation
   102,160.50 : 153,380.25 = 153,380.25 : x
2. Step 2: Convert to fraction form
   102,160.50/153,380.25 = 153,380.25/x
3. Step 3: Cross multiply
   102,160.50x = 153,380.25 × 153,380.25
4. Step 4: Simplify right side
   102,160.50x = 23,525,501,090.06
5. Step 5: Solve for x
   x = 23,525,501,090.06/102,160.50
6. Step 6: Final answer
   x = 230,279.82