Finding the Third Proportional to 37,840.50 and 89,199.98

Step by Step Solution

1. Step 1: Write the proportion equation
   37,840.50 : 89,199.98 = 89,199.98 : x
2. Step 2: Convert to fraction form
   37,840.50/89,199.98 = 89,199.98/x
3. Step 3: Cross multiply
   37,840.50x = 89,199.98 × 89,199.98
4. Step 4: Simplify right side
   37,840.50x = 7,956,637,212.50
5. Step 5: Solve for x
   x = 7,956,637,212.50/37,840.50
6. Step 6: Final answer
   x = 210,267.76