Finding the Third Proportional to 291,333 and 457,783.50

Step by Step Solution

1. Step 1: Write the proportion equation
   291,333 : 457,783.50 = 457,783.50 : x
2. Step 2: Convert to fraction form
   291,333/457,783.50 = 457,783.50/x
3. Step 3: Cross multiply
   291,333x = 457,783.50 × 457,783.50
4. Step 4: Simplify right side
   291,333x = 209,565,732,872.25
5. Step 5: Solve for x
   x = 209,565,732,872.25/291,333
6. Step 6: Final answer
   x = 719,334.00