Finding the Third Proportional to 277,029 and 429,799.50

Step by Step Solution

1. Step 1: Write the proportion equation
   277,029 : 429,799.50 = 429,799.50 : x
2. Step 2: Convert to fraction form
   277,029/429,799.50 = 429,799.50/x
3. Step 3: Cross multiply
   277,029x = 429,799.50 × 429,799.50
4. Step 4: Simplify right side
   277,029x = 184,727,610,200.25
5. Step 5: Solve for x
   x = 184,727,610,200.25/277,029
6. Step 6: Final answer
   x = 666,816.87