Finding the Third Proportional to 761,414 and 1,693,032

Step by Step Solution

1. Step 1: Write the proportion equation
   761,414 : 1,693,032 = 1,693,032 : x
2. Step 2: Convert to fraction form
   761,414/1,693,032 = 1,693,032/x
3. Step 3: Cross multiply
   761,414x = 1,693,032 × 1,693,032
4. Step 4: Simplify right side
   761,414x = 2,866,357,353,024
5. Step 5: Solve for x
   x = 2,866,357,353,024/761,414
6. Step 6: Final answer
   x = 3,764,518.85