Finding the Third Proportional to 686,561 and 1,495,174

Step by Step Solution

1. Step 1: Write the proportion equation
   686,561 : 1,495,174 = 1,495,174 : x
2. Step 2: Convert to fraction form
   686,561/1,495,174 = 1,495,174/x
3. Step 3: Cross multiply
   686,561x = 1,495,174 × 1,495,174
4. Step 4: Simplify right side
   686,561x = 2,235,545,290,276
5. Step 5: Solve for x
   x = 2,235,545,290,276/686,561
6. Step 6: Final answer
   x = 3,256,149.55