Finding the Third Proportional to 83,080,174 and 180,789,738

Step by Step Solution

1. Step 1: Write the proportion equation
   83,080,174 : 180,789,738 = 180,789,738 : x
2. Step 2: Convert to fraction form
   83,080,174/180,789,738 = 180,789,738/x
3. Step 3: Cross multiply
   83,080,174x = 180,789,738 × 180,789,738
4. Step 4: Simplify right side
   83,080,174x = 32,684,929,366,108,644
5. Step 5: Solve for x
   x = 32,684,929,366,108,644/83,080,174
6. Step 6: Final answer
   x = 393,414,310.45