Finding the Third Proportional to 468,146 and 707,138.63

Step by Step Solution

1. Step 1: Write the proportion equation
   468,146 : 707,138.63 = 707,138.63 : x
2. Step 2: Convert to fraction form
   468,146/707,138.63 = 707,138.63/x
3. Step 3: Cross multiply
   468,146x = 707,138.63 × 707,138.63
4. Step 4: Simplify right side
   468,146x = 500,045,034,966.89
5. Step 5: Solve for x
   x = 500,045,034,966.89/468,146
6. Step 6: Final answer
   x = 1,068,139.07