Finding the Third Proportional to 189,480 and 405,214.50

Step by Step Solution

1. Step 1: Write the proportion equation
   189,480 : 405,214.50 = 405,214.50 : x
2. Step 2: Convert to fraction form
   189,480/405,214.50 = 405,214.50/x
3. Step 3: Cross multiply
   189,480x = 405,214.50 × 405,214.50
4. Step 4: Simplify right side
   189,480x = 164,198,791,010.25
5. Step 5: Solve for x
   x = 164,198,791,010.25/189,480
6. Step 6: Final answer
   x = 866,575.84