Finding the Third Proportional to 84,672 and 189,391.50

Step by Step Solution

1. Step 1: Write the proportion equation
   84,672 : 189,391.50 = 189,391.50 : x
2. Step 2: Convert to fraction form
   84,672/189,391.50 = 189,391.50/x
3. Step 3: Cross multiply
   84,672x = 189,391.50 × 189,391.50
4. Step 4: Simplify right side
   84,672x = 35,869,140,272.25
5. Step 5: Solve for x
   x = 35,869,140,272.25/84,672
6. Step 6: Final answer
   x = 423,624.58