Finding the Third Proportional to 456,921,807 and 696,096,096

Step by Step Solution

1. Step 1: Write the proportion equation
   456,921,807 : 696,096,096 = 696,096,096 : x
2. Step 2: Convert to fraction form
   456,921,807/696,096,096 = 696,096,096/x
3. Step 3: Cross multiply
   456,921,807x = 696,096,096 × 696,096,096
4. Step 4: Simplify right side
   456,921,807x = 484,549,774,866,441,216
5. Step 5: Solve for x
   x = 484,549,774,866,441,216/456,921,807
6. Step 6: Final answer
   x = 1,060,465,417.59