Finding the Third Proportional to 117,426 and 157,312.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,426 : 157,312.50 = 157,312.50 : x
2. Step 2: Convert to fraction form
   117,426/157,312.50 = 157,312.50/x
3. Step 3: Cross multiply
   117,426x = 157,312.50 × 157,312.50
4. Step 4: Simplify right side
   117,426x = 24,747,222,656.25
5. Step 5: Solve for x
   x = 24,747,222,656.25/117,426
6. Step 6: Final answer
   x = 210,747.39