Finding the Third Proportional to 175,218 and 266,289.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,218 : 266,289.50 = 266,289.50 : x
2. Step 2: Convert to fraction form
   175,218/266,289.50 = 266,289.50/x
3. Step 3: Cross multiply
   175,218x = 266,289.50 × 266,289.50
4. Step 4: Simplify right side
   175,218x = 70,910,097,810.25
5. Step 5: Solve for x
   x = 70,910,097,810.25/175,218
6. Step 6: Final answer
   x = 404,696.42