Finding the Third Proportional to 73,970 and 117,827.50

Step by Step Solution

1. Step 1: Write the proportion equation
   73,970 : 117,827.50 = 117,827.50 : x
2. Step 2: Convert to fraction form
   73,970/117,827.50 = 117,827.50/x
3. Step 3: Cross multiply
   73,970x = 117,827.50 × 117,827.50
4. Step 4: Simplify right side
   73,970x = 13,883,319,756.25
5. Step 5: Solve for x
   x = 13,883,319,756.25/73,970
6. Step 6: Final answer
   x = 187,688.52