Finding the Third Proportional to 429,742,819 and 920,748,766

Step by Step Solution

1. Step 1: Write the proportion equation
   429,742,819 : 920,748,766 = 920,748,766 : x
2. Step 2: Convert to fraction form
   429,742,819/920,748,766 = 920,748,766/x
3. Step 3: Cross multiply
   429,742,819x = 920,748,766 × 920,748,766
4. Step 4: Simplify right side
   429,742,819x = 847,778,290,090,522,752
5. Step 5: Solve for x
   x = 847,778,290,090,522,752/429,742,819
6. Step 6: Final answer
   x = 1,972,757,315.79