Finding the Third Proportional to 194,712 and 419,557.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,712 : 419,557.50 = 419,557.50 : x
2. Step 2: Convert to fraction form
   194,712/419,557.50 = 419,557.50/x
3. Step 3: Cross multiply
   194,712x = 419,557.50 × 419,557.50
4. Step 4: Simplify right side
   194,712x = 176,028,495,806.25
5. Step 5: Solve for x
   x = 176,028,495,806.25/194,712
6. Step 6: Final answer
   x = 904,045.44