Finding the Third Proportional to 77,099.34 and 120,973.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,099.34 : 120,973.50 = 120,973.50 : x
2. Step 2: Convert to fraction form
   77,099.34/120,973.50 = 120,973.50/x
3. Step 3: Cross multiply
   77,099.34x = 120,973.50 × 120,973.50
4. Step 4: Simplify right side
   77,099.34x = 14,634,587,702.25
5. Step 5: Solve for x
   x = 14,634,587,702.25/77,099.34
6. Step 6: Final answer
   x = 189,814.69