Finding the Third Proportional to 51,827 and 113,312.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,827 : 113,312.50 = 113,312.50 : x
2. Step 2: Convert to fraction form
   51,827/113,312.50 = 113,312.50/x
3. Step 3: Cross multiply
   51,827x = 113,312.50 × 113,312.50
4. Step 4: Simplify right side
   51,827x = 12,839,722,656.25
5. Step 5: Solve for x
   x = 12,839,722,656.25/51,827
6. Step 6: Final answer
   x = 247,741.96