Finding the Third Proportional to 116,665 and 174,961.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,665 : 174,961.50 = 174,961.50 : x
2. Step 2: Convert to fraction form
   116,665/174,961.50 = 174,961.50/x
3. Step 3: Cross multiply
   116,665x = 174,961.50 × 174,961.50
4. Step 4: Simplify right side
   116,665x = 30,611,526,482.25
5. Step 5: Solve for x
   x = 30,611,526,482.25/116,665
6. Step 6: Final answer
   x = 262,388.26