Finding the Third Proportional to 114,152 and 181,798.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,152 : 181,798.50 = 181,798.50 : x
2. Step 2: Convert to fraction form
   114,152/181,798.50 = 181,798.50/x
3. Step 3: Cross multiply
   114,152x = 181,798.50 × 181,798.50
4. Step 4: Simplify right side
   114,152x = 33,050,694,602.25
5. Step 5: Solve for x
   x = 33,050,694,602.25/114,152
6. Step 6: Final answer
   x = 289,532.33