Finding the Third Proportional to 118,659 and 178,492.50

Step by Step Solution

1. Step 1: Write the proportion equation
   118,659 : 178,492.50 = 178,492.50 : x
2. Step 2: Convert to fraction form
   118,659/178,492.50 = 178,492.50/x
3. Step 3: Cross multiply
   118,659x = 178,492.50 × 178,492.50
4. Step 4: Simplify right side
   118,659x = 31,859,572,556.25
5. Step 5: Solve for x
   x = 31,859,572,556.25/118,659
6. Step 6: Final answer
   x = 268,496.89