Finding the Third Proportional to 77,302 and 112,672.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,302 : 112,672.50 = 112,672.50 : x
2. Step 2: Convert to fraction form
   77,302/112,672.50 = 112,672.50/x
3. Step 3: Cross multiply
   77,302x = 112,672.50 × 112,672.50
4. Step 4: Simplify right side
   77,302x = 12,695,092,256.25
5. Step 5: Solve for x
   x = 12,695,092,256.25/77,302
6. Step 6: Final answer
   x = 164,227.22