Finding the Third Proportional to 102,263 and 156,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,263 : 156,978.50 = 156,978.50 : x
2. Step 2: Convert to fraction form
   102,263/156,978.50 = 156,978.50/x
3. Step 3: Cross multiply
   102,263x = 156,978.50 × 156,978.50
4. Step 4: Simplify right side
   102,263x = 24,642,249,462.25
5. Step 5: Solve for x
   x = 24,642,249,462.25/102,263
6. Step 6: Final answer
   x = 240,969.36