Finding the Third Proportional to 102,534.50 and 221,426

Step by Step Solution

1. Step 1: Write the proportion equation
   102,534.50 : 221,426 = 221,426 : x
2. Step 2: Convert to fraction form
   102,534.50/221,426 = 221,426/x
3. Step 3: Cross multiply
   102,534.50x = 221,426 × 221,426
4. Step 4: Simplify right side
   102,534.50x = 49,029,473,476
5. Step 5: Solve for x
   x = 49,029,473,476/102,534.50
6. Step 6: Final answer
   x = 478,175.38