Finding the Third Proportional to 272,144 and 429,086

Step by Step Solution

1. Step 1: Write the proportion equation
   272,144 : 429,086 = 429,086 : x
2. Step 2: Convert to fraction form
   272,144/429,086 = 429,086/x
3. Step 3: Cross multiply
   272,144x = 429,086 × 429,086
4. Step 4: Simplify right side
   272,144x = 184,114,795,396
5. Step 5: Solve for x
   x = 184,114,795,396/272,144
6. Step 6: Final answer
   x = 676,534.46