Finding the Third Proportional to 429,742,826 and 920,748,780

Step by Step Solution

1. Step 1: Write the proportion equation
   429,742,826 : 920,748,780 = 920,748,780 : x
2. Step 2: Convert to fraction form
   429,742,826/920,748,780 = 920,748,780/x
3. Step 3: Cross multiply
   429,742,826x = 920,748,780 × 920,748,780
4. Step 4: Simplify right side
   429,742,826x = 847,778,315,871,488,384
5. Step 5: Solve for x
   x = 847,778,315,871,488,384/429,742,826
6. Step 6: Final answer
   x = 1,972,757,343.65