Finding the Third Proportional to 277,164 and 386,158.50

Step by Step Solution

1. Step 1: Write the proportion equation
   277,164 : 386,158.50 = 386,158.50 : x
2. Step 2: Convert to fraction form
   277,164/386,158.50 = 386,158.50/x
3. Step 3: Cross multiply
   277,164x = 386,158.50 × 386,158.50
4. Step 4: Simplify right side
   277,164x = 149,118,387,122.25
5. Step 5: Solve for x
   x = 149,118,387,122.25/277,164
6. Step 6: Final answer
   x = 538,014.99