Finding the Third Proportional to 102,003.75 and 153,094.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,003.75 : 153,094.50 = 153,094.50 : x
2. Step 2: Convert to fraction form
   102,003.75/153,094.50 = 153,094.50/x
3. Step 3: Cross multiply
   102,003.75x = 153,094.50 × 153,094.50
4. Step 4: Simplify right side
   102,003.75x = 23,437,925,930.25
5. Step 5: Solve for x
   x = 23,437,925,930.25/102,003.75
6. Step 6: Final answer
   x = 229,775.14