Finding the Third Proportional to 118,194 and 181,666.50

Step by Step Solution

1. Step 1: Write the proportion equation
   118,194 : 181,666.50 = 181,666.50 : x
2. Step 2: Convert to fraction form
   118,194/181,666.50 = 181,666.50/x
3. Step 3: Cross multiply
   118,194x = 181,666.50 × 181,666.50
4. Step 4: Simplify right side
   118,194x = 33,002,717,222.25
5. Step 5: Solve for x
   x = 33,002,717,222.25/118,194
6. Step 6: Final answer
   x = 279,224.98