Finding the Third Proportional to 291,565 and 476,099.50

Step by Step Solution

1. Step 1: Write the proportion equation
   291,565 : 476,099.50 = 476,099.50 : x
2. Step 2: Convert to fraction form
   291,565/476,099.50 = 476,099.50/x
3. Step 3: Cross multiply
   291,565x = 476,099.50 × 476,099.50
4. Step 4: Simplify right side
   291,565x = 226,670,733,900.25
5. Step 5: Solve for x
   x = 226,670,733,900.25/291,565
6. Step 6: Final answer
   x = 777,427.79