Finding the Third Proportional to 194,817 and 264,001.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,817 : 264,001.50 = 264,001.50 : x
2. Step 2: Convert to fraction form
   194,817/264,001.50 = 264,001.50/x
3. Step 3: Cross multiply
   194,817x = 264,001.50 × 264,001.50
4. Step 4: Simplify right side
   194,817x = 69,696,792,002.25
5. Step 5: Solve for x
   x = 69,696,792,002.25/194,817
6. Step 6: Final answer
   x = 357,755.19