Finding the Third Proportional to 102,189 and 156,955.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,189 : 156,955.50 = 156,955.50 : x
2. Step 2: Convert to fraction form
   102,189/156,955.50 = 156,955.50/x
3. Step 3: Cross multiply
   102,189x = 156,955.50 × 156,955.50
4. Step 4: Simplify right side
   102,189x = 24,635,028,980.25
5. Step 5: Solve for x
   x = 24,635,028,980.25/102,189
6. Step 6: Final answer
   x = 241,073.20