Finding the Third Proportional to 458,959.50 and 645,174

Step by Step Solution

1. Step 1: Write the proportion equation
   458,959.50 : 645,174 = 645,174 : x
2. Step 2: Convert to fraction form
   458,959.50/645,174 = 645,174/x
3. Step 3: Cross multiply
   458,959.50x = 645,174 × 645,174
4. Step 4: Simplify right side
   458,959.50x = 416,249,490,276
5. Step 5: Solve for x
   x = 416,249,490,276/458,959.50
6. Step 6: Final answer
   x = 906,941.66