Finding the Third Proportional to 429,534 and 914,364

Step by Step Solution

1. Step 1: Write the proportion equation
   429,534 : 914,364 = 914,364 : x
2. Step 2: Convert to fraction form
   429,534/914,364 = 914,364/x
3. Step 3: Cross multiply
   429,534x = 914,364 × 914,364
4. Step 4: Simplify right side
   429,534x = 836,061,524,496
5. Step 5: Solve for x
   x = 836,061,524,496/429,534
6. Step 6: Final answer
   x = 1,946,438.52