Finding the Third Proportional to 194,427 and 278,032.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,427 : 278,032.50 = 278,032.50 : x
2. Step 2: Convert to fraction form
   194,427/278,032.50 = 278,032.50/x
3. Step 3: Cross multiply
   194,427x = 278,032.50 × 278,032.50
4. Step 4: Simplify right side
   194,427x = 77,302,071,056.25
5. Step 5: Solve for x
   x = 77,302,071,056.25/194,427
6. Step 6: Final answer
   x = 397,589.18