Finding the Third Proportional to 194,643 and 418,384.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,643 : 418,384.50 = 418,384.50 : x
2. Step 2: Convert to fraction form
   194,643/418,384.50 = 418,384.50/x
3. Step 3: Cross multiply
   194,643x = 418,384.50 × 418,384.50
4. Step 4: Simplify right side
   194,643x = 175,045,589,840.25
5. Step 5: Solve for x
   x = 175,045,589,840.25/194,643
6. Step 6: Final answer
   x = 899,316.13