Finding the Third Proportional to 114,237 and 178,645.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,237 : 178,645.50 = 178,645.50 : x
2. Step 2: Convert to fraction form
   114,237/178,645.50 = 178,645.50/x
3. Step 3: Cross multiply
   114,237x = 178,645.50 × 178,645.50
4. Step 4: Simplify right side
   114,237x = 31,914,214,670.25
5. Step 5: Solve for x
   x = 31,914,214,670.25/114,237
6. Step 6: Final answer
   x = 279,368.46