Finding the Third Proportional to 104,301 and 156,384

Step by Step Solution

1. Step 1: Write the proportion equation
   104,301 : 156,384 = 156,384 : x
2. Step 2: Convert to fraction form
   104,301/156,384 = 156,384/x
3. Step 3: Cross multiply
   104,301x = 156,384 × 156,384
4. Step 4: Simplify right side
   104,301x = 24,455,955,456
5. Step 5: Solve for x
   x = 24,455,955,456/104,301
6. Step 6: Final answer
   x = 234,474.79