Finding the Third Proportional to 94,527 and 181,966.50

Step by Step Solution

1. Step 1: Write the proportion equation
   94,527 : 181,966.50 = 181,966.50 : x
2. Step 2: Convert to fraction form
   94,527/181,966.50 = 181,966.50/x
3. Step 3: Cross multiply
   94,527x = 181,966.50 × 181,966.50
4. Step 4: Simplify right side
   94,527x = 33,111,807,122.25
5. Step 5: Solve for x
   x = 33,111,807,122.25/94,527
6. Step 6: Final answer
   x = 350,289.41