Finding the Third Proportional to 189,402 and 420,844.50

Step by Step Solution

1. Step 1: Write the proportion equation
   189,402 : 420,844.50 = 420,844.50 : x
2. Step 2: Convert to fraction form
   189,402/420,844.50 = 420,844.50/x
3. Step 3: Cross multiply
   189,402x = 420,844.50 × 420,844.50
4. Step 4: Simplify right side
   189,402x = 177,110,093,180.25
5. Step 5: Solve for x
   x = 177,110,093,180.25/189,402
6. Step 6: Final answer
   x = 935,101.49