Finding the Third Proportional to 96,156 and 152,106

Step by Step Solution

1. Step 1: Write the proportion equation
   96,156 : 152,106 = 152,106 : x
2. Step 2: Convert to fraction form
   96,156/152,106 = 152,106/x
3. Step 3: Cross multiply
   96,156x = 152,106 × 152,106
4. Step 4: Simplify right side
   96,156x = 23,136,235,236
5. Step 5: Solve for x
   x = 23,136,235,236/96,156
6. Step 6: Final answer
   x = 240,611.46