Finding the Third Proportional to 270,432 and 429,421.50

Step by Step Solution

1. Step 1: Write the proportion equation
   270,432 : 429,421.50 = 429,421.50 : x
2. Step 2: Convert to fraction form
   270,432/429,421.50 = 429,421.50/x
3. Step 3: Cross multiply
   270,432x = 429,421.50 × 429,421.50
4. Step 4: Simplify right side
   270,432x = 184,402,824,662.25
5. Step 5: Solve for x
   x = 184,402,824,662.25/270,432
6. Step 6: Final answer
   x = 681,882.41