Finding the Third Proportional to 277,807.50 and 415,066.50

Step by Step Solution

1. Step 1: Write the proportion equation
   277,807.50 : 415,066.50 = 415,066.50 : x
2. Step 2: Convert to fraction form
   277,807.50/415,066.50 = 415,066.50/x
3. Step 3: Cross multiply
   277,807.50x = 415,066.50 × 415,066.50
4. Step 4: Simplify right side
   277,807.50x = 172,280,199,422.25
5. Step 5: Solve for x
   x = 172,280,199,422.25/277,807.50
6. Step 6: Final answer
   x = 620,142.36