Finding the Third Proportional to 291,819 and 417,298.50

Step by Step Solution

1. Step 1: Write the proportion equation
   291,819 : 417,298.50 = 417,298.50 : x
2. Step 2: Convert to fraction form
   291,819/417,298.50 = 417,298.50/x
3. Step 3: Cross multiply
   291,819x = 417,298.50 × 417,298.50
4. Step 4: Simplify right side
   291,819x = 174,138,038,102.25
5. Step 5: Solve for x
   x = 174,138,038,102.25/291,819
6. Step 6: Final answer
   x = 596,733.04