Finding the Third Proportional to 102,132 and 149,764.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,132 : 149,764.50 = 149,764.50 : x
2. Step 2: Convert to fraction form
   102,132/149,764.50 = 149,764.50/x
3. Step 3: Cross multiply
   102,132x = 149,764.50 × 149,764.50
4. Step 4: Simplify right side
   102,132x = 22,429,405,460.25
5. Step 5: Solve for x
   x = 22,429,405,460.25/102,132
6. Step 6: Final answer
   x = 219,611.93