Finding the Third Proportional to 77,615 and 117,029.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,615 : 117,029.50 = 117,029.50 : x
2. Step 2: Convert to fraction form
   77,615/117,029.50 = 117,029.50/x
3. Step 3: Cross multiply
   77,615x = 117,029.50 × 117,029.50
4. Step 4: Simplify right side
   77,615x = 13,695,903,870.25
5. Step 5: Solve for x
   x = 13,695,903,870.25/77,615
6. Step 6: Final answer
   x = 176,459.50