Finding the Third Proportional to 456,922,064 and 696,096,442

Step by Step Solution

1. Step 1: Write the proportion equation
   456,922,064 : 696,096,442 = 696,096,442 : x
2. Step 2: Convert to fraction form
   456,922,064/696,096,442 = 696,096,442/x
3. Step 3: Cross multiply
   456,922,064x = 696,096,442 × 696,096,442
4. Step 4: Simplify right side
   456,922,064x = 484,550,256,565,059,392
5. Step 5: Solve for x
   x = 484,550,256,565,059,392/456,922,064
6. Step 6: Final answer
   x = 1,060,465,875.35