Finding the Third Proportional to 292,156 and 456,686.50

Step by Step Solution

1. Step 1: Write the proportion equation
   292,156 : 456,686.50 = 456,686.50 : x
2. Step 2: Convert to fraction form
   292,156/456,686.50 = 456,686.50/x
3. Step 3: Cross multiply
   292,156x = 456,686.50 × 456,686.50
4. Step 4: Simplify right side
   292,156x = 208,562,559,282.25
5. Step 5: Solve for x
   x = 208,562,559,282.25/292,156
6. Step 6: Final answer
   x = 713,873.96