Finding the Third Proportional to 46,991 and 97,870.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,991 : 97,870.50 = 97,870.50 : x
2. Step 2: Convert to fraction form
   46,991/97,870.50 = 97,870.50/x
3. Step 3: Cross multiply
   46,991x = 97,870.50 × 97,870.50
4. Step 4: Simplify right side
   46,991x = 9,578,634,770.25
5. Step 5: Solve for x
   x = 9,578,634,770.25/46,991
6. Step 6: Final answer
   x = 203,839.77