Finding the Third Proportional to 212,422.50 and 434,646

Step by Step Solution

1. Step 1: Write the proportion equation
   212,422.50 : 434,646 = 434,646 : x
2. Step 2: Convert to fraction form
   212,422.50/434,646 = 434,646/x
3. Step 3: Cross multiply
   212,422.50x = 434,646 × 434,646
4. Step 4: Simplify right side
   212,422.50x = 188,917,145,316
5. Step 5: Solve for x
   x = 188,917,145,316/212,422.50
6. Step 6: Final answer
   x = 889,346.21