Finding the Third Proportional to 462,930,619.50 and 705,248,802

Step by Step Solution

1. Step 1: Write the proportion equation
   462,930,619.50 : 705,248,802 = 705,248,802 : x
2. Step 2: Convert to fraction form
   462,930,619.50/705,248,802 = 705,248,802/x
3. Step 3: Cross multiply
   462,930,619.50x = 705,248,802 × 705,248,802
4. Step 4: Simplify right side
   462,930,619.50x = 497,375,872,722,435,200
5. Step 5: Solve for x
   x = 497,375,872,722,435,200/462,930,619.50
6. Step 6: Final answer
   x = 1,074,406,945.17