Finding the Third Proportional to 116,131.50 and 238,207.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,131.50 : 238,207.50 = 238,207.50 : x
2. Step 2: Convert to fraction form
   116,131.50/238,207.50 = 238,207.50/x
3. Step 3: Cross multiply
   116,131.50x = 238,207.50 × 238,207.50
4. Step 4: Simplify right side
   116,131.50x = 56,742,813,056.25
5. Step 5: Solve for x
   x = 56,742,813,056.25/116,131.50
6. Step 6: Final answer
   x = 488,608.29